Proves a one-to-one correspondence between G-hereditary and G-saturated subsets of vertices and gauge-invariant diagonal-invariant ideals in the C*-algebra of a self-similar k-graph.
Williams, Crossed Products of C ∗ -algebras, American Mathematical Society, Providence, RI , 2007, xvi+528
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The ideal structures of self-similar $k$-graph C*-algebras
Proves a one-to-one correspondence between G-hereditary and G-saturated subsets of vertices and gauge-invariant diagonal-invariant ideals in the C*-algebra of a self-similar k-graph.